The Depth Distribution of Constacyclic Codes Over the Ring Fp + vFp + v2Fp

• 作者: LI Jian-hao WU Hua-zhang
• 来源期刊: 数学季刊（英文版）
• 学科: 数学
• 年，卷（期）: 2021,（4）
• 页码范围: 430-440
• 页数: 11页
• 分类号: O157.4
• 语种: 英文
• DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.010

摘要

In this paper,we studied the depth spectrum and the depth distribution of constacyclic codes over the non-chain ring R=Fp +vFp +v2Fp,where v3 =v.By decomposing the linear codes C over R into the linear codes over the finite field Fp,three corresponding constacyclic codes C1,C2,C3 over Fp were obtained.Furthermore,considering the depth spectrum of constacyclic codes over the finite filed Fp,and the relationship between constacyclic codes C1,C2,C3 and C,the depth spectrum and the depth distribution of constacyclic codes over R were discussed.